More formally, if \(I_\eta (x,y)\)  denotes the information gain in the generalized Bayes update from prior to posterior based on learning rate \(\eta \)  and data values \((x,y)\) , then [1]} propose to set \(\eta \)  such that
\(\int I_\eta (x,y) \, P^\star (dx,dy) = \int I_1(x,y) \, P_{\theta ^\dagger }(dx,dy),\) 
